12815774208 has 320 divisors, whose sum is σ = 40658112000. Its totient is φ = 3973681152.

The previous prime is 12815774171. The next prime is 12815774239. The reversal of 12815774208 is 80247751821.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15496291 + ... + 15497117.

It is an arithmetic number, because the mean of its divisors is an integer number (127056600).

Almost surely, 2^12815774208 is an apocalyptic number.

12815774208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12815774208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20329056000).

12815774208 is an abundant number, since it is smaller than the sum of its proper divisors (27842337792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12815774208 is an equidigital number, since it uses as much as digits as its factorization.

12815774208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 12815774208 in words is "twelve billion, eight hundred fifteen million, seven hundred seventy-four thousand, two hundred eight".